Pith Number

pith:K2U7DSHC

pith:2010:K2U7DSHCDHZUAOQEJWTYKP34UG

not attested not anchored not stored refs pending

A characterization of horizontal visibility graphs and combinatorics on words

Gregory Gutin, Simone Severini, Toufik Mansour

arxiv:1010.1850 v1 · 2010-10-09 · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2U7DSHCDHZUAOQEJWTYKP34UG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:12:35.380680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a9f1c8e219f3403a044da7853f7ca1a4d89ec71bbab60af62f0ca29589283f

Aliases

arxiv: 1010.1850 · arxiv_version: 1010.1850v1 · doi: 10.48550/arxiv.1010.1850 · pith_short_12: K2U7DSHCDHZU · pith_short_16: K2U7DSHCDHZUAOQE · pith_short_8: K2U7DSHC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K2U7DSHCDHZUAOQEJWTYKP34UG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 56a9f1c8e219f3403a044da7853f7ca1a4d89ec71bbab60af62f0ca29589283f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d002f2201cc321acd3ed237724b7324f792af7cd9d25713a8c5f0bf25aa5af25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2010-10-09T14:44:23Z",
    "title_canon_sha256": "d5d1816343469479d7eb73ad69ad5ef9178fc8fe3661b8906d7575aa841b8e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1850",
    "kind": "arxiv",
    "version": 1
  }
}